Finding the Third Proportional to 103.50 and 145.13
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Solution
The third proportional to 103.50 and 145.13 is: 203.49
Step by Step Solution
- Step 1: Write the proportion equation
103.50 : 145.13 = 145.13 : x - Step 2: Convert to fraction form
103.50/145.13 = 145.13/x - Step 3: Cross multiply
103.50x = 145.13 × 145.13 - Step 4: Simplify right side
103.50x = 21,061.27 - Step 5: Solve for x
x = 21,061.27/103.50 - Step 6: Final answer
x = 203.49
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.